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II.C.137

From Li & Liao (2017)

II.C.137 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 126.55 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.0000519 of each other at a top speed of 139, line up 210 times a period, and the computed loop closes to 1.6×10⁻¹⁶.

Measured over one period

Period: 126.5531674
Masses: 1 : 1 : 1
Energy: -1.82025
Angular momentum: 0
Closest approach: 5.2×10⁻⁵
Top speed: 138.8
Path length: 349.59
Alignments per period: 210
Stability: stable (|λ|max 1.000)
Loop closure: 1.6×10⁻¹⁶

Neighbours on the map

All II.C orbits, the families of periodic three-body orbits, or the atlas map.